Question
need help on B
Homework: HW #8 (Ch 8) Save Score: 0 of 1 pt 46or 21 (3 complete) Hi Score: 8.73%, 1.83 of 21 pts 8.1.27 Question Help The acceptable level for insect fith in a certain food item is 5 insect fragments (arvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x 5.2 insect fragments per ten-gram portion Complete parts (a) through (c) below (a) Why is the sampling distribution of approximately nomal? ? A The sampling distribution is appraimately rormal because the population is nomaly distributed and the sample size is large enough B. The samping distribution is approximately normal because the sample size is large enough C. The samping distribution is assumed to be approximately normal OD. The samping distribution is approximately normal because the popluation is nomaly distibured (b) What is the mean and standard deviation of the sampling distribution of x assuming ?-5 and ?- (Round to three decimal places as needed.)
Explanation / Answer
Solution :
(b) Given that n = 40 , ? = 5 ,? = sqrt(5)
=> ?x = ? = 5.000
=> ?x = ?/sqrt(n)
= sqrt(5)/sqrt(40)
= 0.354
